Dynamic response of imperfect functionally graded plates: Impact of graded patterns and viscoelastic foundation

被引:37
作者
Driz, Hafida [1 ]
Attia, Amina [2 ]
Bousahla, Abdelmoumen Anis [3 ]
Addou, Farouk Yahia [4 ,5 ]
Bourada, Mohamed [4 ]
Tounsi, Abdeldjebbar [4 ,6 ]
Tounsi, Abdelouahed [4 ,7 ]
Balubaid, Mohammed [8 ]
Mahmoud, S. R. [9 ]
机构
[1] Sidi Bel Abbes Univ, Fac Technol, Civil Engn Dept, Sidi Bel Abbes, Algeria
[2] Univ Ain Temouchent, Fac Sci & Technol, Dept Civil Engn & Publ Works, Engn & Sustainable Dev Lab, Ain Temouchent, Algeria
[3] Univ Djillali Liabes Sidi Bel Abbes, Lab Modelisat & Simulat Multieche, Sidi Bel Abbes, Algeria
[4] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Civil Engn Dept, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria
[5] Abdelhamid Ibn Badis Univ, Civil Engn Dept, Fac Sci & Technol, Mostaganem 27000, Algeria
[6] Univ Relizane, Dept Mech Engn, Fac Sci & Technol, Relizane 48000, Algeria
[7] King Fahd Univ Petr & Minerals, Dept Civil & Environm Engn, Dhahran 31261, Eastern Provinc, Saudi Arabia
[8] King Abdulaziz Univ, Dept Ind Engn, Jeddah, Saudi Arabia
[9] King Abdulaziz Univ, Appl Coll, GRC Dept, Jeddah 21589, Saudi Arabia
关键词
behavior; functionally graded plates; viscoelastic foundations; FREE-VIBRATION ANALYSIS; HIGHER-ORDER SHEAR; THERMAL ENVIRONMENT; NONLINEAR VIBRATION; NANOCOMPOSITE BEAMS; CYLINDRICAL-SHELLS; RECTANGULAR-PLATES; DEFORMATION-THEORY; BUCKLING ANALYSIS; COMPOSITE PLATES;
D O I
10.12989/sem.2024.91.6.551
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This study presents a methodical investigation into improving structural designs through the analytical examination of the dynamic behavior of functionally graded plates (FGPs) resting on viscoelastic foundations. By employing a four variable first- order shear deformation theory, the study computes non- dimensional frequencies for a variety of porous FGPs with diverse graded patterns and porosity distributions. Different gradient patterns of the plates are considered, and three distinct functions- sigmoid (S-FGM),- FGM), exponential (E-FGM),- FGM), and power- law (P-FGM)-are- FGM)-are utilized to assess material performance in specific directions. The equations of motion are derived and solved using both Navier's method and Hamilton's principle. Analytical solutions for vibration frequency are provided to validate the proposed methodology against existing literature. Furthermore, a comprehensive parametric analysis is conducted, taking into account various factors such as ceramic material, porosity distribution, gradient index, length- to- thickness ratio, gradient pattern, and damping coefficient. The findings suggest that enhancing the damping coefficient of the viscoelastic foundation can significantly improve the free- vibrational response of functionally graded material plates.
引用
收藏
页码:551 / 565
页数:15
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